How to keep scan results of previously opened files in the Problems tool window

Description:
I am trying to integrate a custom scanner/linter with IntelliJ IDEA. My goal is to show errors/warnings in the Problems tool window.

Currently, the File tab of the Problems window only shows issues for the currently active file. As soon as I switch to another file, the previous file’s errors are no longer visible there.

What I would like to achieve is:

• Keep the errors of previously opened files stored in the File tab (not just the currently active one).
• Essentially, the Problems window should accumulate issues for all recently opened files, so the user can switch back without losing context.
• I do not want to use the Analyze → Inspect Code… option, because that relies on GlobalInspectionTool, and I want this behavior to come directly from my custom scanner / inspection flow.

Question:
Is there a way to customize or extend IntelliJ so that the File tab of the Problems tool window can retain results for previously opened files?

• Do I need to hook into the ProblemsProvider / InspectionProfile APIs?
• Or is there an extension point to override the default behavior of the File tab?
• If not, is the only option to create a custom tab in the Problems window that persists my results?

Any guidance or pointers to the right APIs would be greatly appreciated!